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Dae S. Hong – North American Chapter of the International Group for the Psychology of Mathematics Education, 2023
This study explores opportunities to learn definite integrals in three widely used textbooks in the U.S. Definitions, worked examples, and exercise problems were coded using research-based cognitive resources in definite integrals. The results show that limited opportunities for students to explore multiplicative relationship between two…
Descriptors: Mathematics Instruction, Teaching Methods, Calculus, Mathematical Concepts
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Katherin Cartwright – Mathematics Education Research Journal, 2024
The exploration of children's drawings as mathematical representations is a current focus in early years mathematics education research. This paper presents a qualitative analysis of 72 kindergarten to Grade 3 (5 to 8 years old) children's drawings produced during problem-solving tasks centred on multiplicative strategies. Existing frameworks for…
Descriptors: Multiplication, Freehand Drawing, Mathematics Instruction, Kindergarten
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Nadia M. Theba; Craig Pournara; Shikha Takker – Pythagoras, 2024
Developing structure sense is an important part of learning algebra. We investigated learners' structure sense of algebraic expressions involving brackets. This led us to propose the constructs "surface structure" sense and "systemic structure" sense. Using a random sample of 58 Grade 10 learners scoring above 40% in a test, we…
Descriptors: Algebra, Grade 10, Mathematics Instruction, Error Patterns
Chin, Sze Looi; Choy, Ban Heng; Leong, Yew Hoong – Mathematics Education Research Group of Australasia, 2022
In this paper, we present a case study of a secondary mathematics teacher, Isaac (pseudonym), and his considerations for teaching with multiple methods for solving missing-value problems. While his students preferred methods that drew more closely on their intuitive understanding of proportionality, Isaac emphasised the algorithmic…
Descriptors: Teaching Methods, Secondary School Mathematics, Mathematics Instruction, Mathematics Teachers
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Cordero-Siy, Eric; Ghousseini, Hala – Mathematics Teacher: Learning and Teaching PK-12, 2022
Representations are used throughout school mathematics for students to both think through a problem and communicate their ideas. Students also often come to mathematics class with a repertoire of representations. This article presents the ideas of different and multiple representations with conceptual connections as their underlying distinguishing…
Descriptors: Mathematics Education, Mathematics Instruction, Teaching Methods, Mathematical Concepts
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Calabrese, Julia; Kopparla, M.; Capraro, M. M. – Educational Studies, 2022
In the present study, researchers used problem-posing instruction to examine elementary students' understanding of multiplication. Students in fourth and fifth grade classrooms (n = 24) from a rural school district participated in a semester-long study. The focus of this study was examining student solutions to two specific lessons with problems…
Descriptors: Elementary School Students, Multiplication, Problem Solving, Grade 4
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Kularajan, Sindura Subanemy; Czocher, Jennifer A. – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
Using data from teaching experiments and theories from quantitative reasoning, we built second-order accounts of students' mathematics with regards to how they conceived rate of change through operating on existing quantities. In this report, we explain three different ways STEM undergraduates structurally conceive rate of change as they…
Descriptors: STEM Education, Mathematics Instruction, Mathematical Models, Thinking Skills
Putrawangsa, Susilahuddin; Patahuddin, Sitti – Mathematics Education Research Group of Australasia, 2022
This study enquires into the embodied processes of children in solving multiplication tasks, considering how such processes can expand access to spatial reasoning skills and simultaneously develop students' understanding of multiplication. The analysis focused on four Year 2 students as they completed two embodied tasks. The aim was to understand…
Descriptors: Mathematics Instruction, Spatial Ability, Teaching Methods, Multiplication
SanGiovanni, John J.; Bay-Williams, Jennifer M.; Serrano, Rosalba – Corwin, 2021
Fluency in mathematics is more than adeptly using basic facts or implementing algorithms. It is not about speed or recall. Real fluency is about choosing strategies that are efficient, flexible, lead to accurate solutions, and are appropriate for the given situation. Developing fluency is also a matter of equity and access for all learners. The…
Descriptors: Mathematics Instruction, Elementary School Mathematics, Mathematics Skills, Teaching Methods
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Nugraha, Yandika; Sa'dijah, Cholis; Susiswo; Chandra, Tjang Daniel – International Journal of Educational Methodology, 2023
Teacher knowledge is one of the main factors in the quality of mathematics learning. Many mathematics teachers have difficulty using proportional reasoning. Proportional reasoning is one of the essential aspects of the middle school mathematics curriculum to develop students' mathematical thinking. Teachers should realize that developing…
Descriptors: Pedagogical Content Knowledge, Mathematics Teachers, Mathematics Instruction, Thinking Skills
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Duyen, Nguyen Thi Hong; Loc, Nguyen Phu – European Journal of Educational Research, 2022
Numeracy is one of the essential competencies that the objectives of teaching math to primary students should be towards. However, many research findings show that the problem of "innumeracy" frequently exists at primary schools. That means children still do not feel at home in the world of numbers and operations. Therefore, the paper…
Descriptors: Elementary School Students, Elementary School Mathematics, Numeracy, Teaching Methods
Cheeseman, Jill; Downton, Ann; Roche, Anne; Ferguson, Sarah – Mathematics Education Research Group of Australasia, 2021
In the context of a multiplicative problem, our study investigated young children's ability to visualise and draw equal groups. This paper reports the results obtained from 18 Australian children in their first year of school (age 5-6 years). The task "12 Little Ducks," taught by their classroom teacher, provoked children to visualise…
Descriptors: Multiplication, Problem Solving, Mathematics Instruction, Elementary School Students
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Roan, Elizabeth; Czocher, Jennifer – North American Chapter of the International Group for the Psychology of Mathematics Education, 2022
Literature typically describes mathematization, the process of transforming a real-world situation into a mathematical model, in terms of desirable actions and behaviors students exhibit. We attended to STEM undergraduate students' quantitative reasoning as they derived equations. Analysis of the meanings they held for arithmetic operations (+, -,…
Descriptors: Mathematics Instruction, Task Analysis, Mathematical Models, STEM Education
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Tillema, Erik S. – Mathematical Thinking and Learning: An International Journal, 2020
Two-hour long developmental teaching interviews were conducted with each of 14 sixth grade students, ages 11-12. The purposes of the interviews were to investigate how students solved arrangement problems (APs), and how their solutions of these problems differed from their solution of Cartesian product problems (CPPs). The 14 students represented…
Descriptors: Mathematics Instruction, Multiplication, Mathematical Concepts, Teaching Methods
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Rajiv Satsangi; Stephanie D. Sigmon – Remedial and Special Education, 2024
Whole number computations are a critical skill that serves as a foundation upon which higher-order concepts in mathematics are taught to children. To facilitate their instruction, educators often use multiple representations to support a child's cognition. Representations with physical manipulatives are widely studied through a graduated…
Descriptors: Multiplication, Thinking Skills, Elementary School Students, Learning Problems
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